Double counting (proof technique)

Double counting | Intuitive way to solve poly Binomial series | 3b1b contest

HOW SIMPLE YET POWERFUL COUNTING IS ? WOULDN'T FIND THIS STUFF ANYWHERE ELSE. SEE THE VIDEO AND COMMENT HOW MANY PROBLEMS YOU COULD SOVLE MENTALLY ?

From playlist Summer of Math Exposition Youtube Videos

Curious Calculation: Result is Always 3 (Proof Included)

This video show a calculation starting with any counting number that always results in 3. A proof is included.

From playlist Mathematics General Interest

Introduction to Indirect Proof

This video introduces indirect proof and proves one basic algebraic and one basic geometric indirect proof. Complete Video List: http://mathispower4u.yolasite.com/

From playlist Relationships with Triangles

Second Order Recurrence Formula (1 of 3: Prologue - considering the old course)

More resources available at www.misterwootube.com

From playlist Further Proof by Mathematical Induction

Using mathematical induction to prove a formula

👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, . . . To prove by induction, we first show that the f

From playlist Sequences

Algebraic and Combinatorial Proofs: C(n,k)=C(n,n-k)

This video provides an algebraic proof and three combinatorial proofs for a binomial identity.

From playlist Counting (Discrete Math)

18. Roth's theorem I: Fourier analytic proof over finite field

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX The finite field model is a nice sandbox for methods and

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

A Dozen Proofs: Sum of Integers Formula (visual proofs) #SoME2

In this video, we explore the famous formula for the sum of the first n positive integers. In particular, we present twelve proofs of the sum formula using induction, area-based techniques, combinatorial techniques, physical techniques, and by using a couple of deep theorems. All of the pr

From playlist Finite Sums

Graph regularity and counting lemmas - Jacob Fox

Conference on Graphs and Analysis Jacob Fox June 5, 2012 More videos on http://video.ias.edu

From playlist Mathematics

The Counting Principle

This video explains how to find the number of ways an event can occur. http://mathispower4u.yolasite.com/

From playlist Counting and Probability

19. Roth's theorem II: Fourier analytic proof in the integers

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX This lecture covers Roth's original proof of Roth's theor

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

Advances on Ramsey numbers - Jacob Fox

https://www.math.ias.edu/seminars/abstract?event=83564

From playlist Computer Science/Discrete Mathematics

Ex: Determine the Number of Ways to Complete a True/False Test - Counting Principle

This video explains how to use the counting principle to determine the number of number of ways to complete a true/false test. Site: http://mathispower4u.com

From playlist Counting Principle

Counting rational points of cubic hypersurfaces - Salberger - Workshop 1 - CEB T2 2019

Per Salberger (Chalmers Univ. of Technology) / 23.05.2019 Counting rational points of cubic hypersurfaces Let N(X;B) be the number of rational points of height at most B on an integral cubic hypersurface X over Q. It is then a central problem in Diophantine geometry to study the asympto

From playlist 2019 - T2 - Reinventing rational points

Learn to use induction to prove the sum formula of a series

👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, . . . To prove by induction, we first show that the f

From playlist Sequences

The Complexity of Multilinear Averages - Frederick Manners

Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: The Complexity of Multilinear Averages Speaker: Frederick Manners Affiliation: Von Neumann Fellow, School of Mathematics Date: February 28, 2023 A central question in additive combinatorics is to determine wh

From playlist Mathematics

Equality Alone Does not Simulate Randomness- Marc Vinyals

Computer Science/Discrete Mathematics Seminar I Topic: Equality Alone Does not Simulate Randomness Speaker: Marc Vinyals Affiliation: Technion Date: January 27, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao

Slides for this talk: https://drive.google.com/file/d/1RdgY6N869MN5lJwl2jv1HwIgWky6aW5C/view?usp=sharing The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao Abstract: The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the p

From playlist Mathematics

Introduction to Proof by Induction: Prove 1+3+5+…+(2n-1)=n^2

This video introduces proof by induction and proves 1+3+5+…+(2n-1) equals n^2. mathispower4u.com

From playlist Sequences (Discrete Math)

24. Structure of set addition IV: proof of Freiman's theorem

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX This lecture concludes the proof of Freiman's theorem on

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019